Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us consider x to represent the number of days of sunshine in Boston.
We know that Colorado Springs has 1.2 times as many days of sunshine as Boston.
The total number of days of sunshine between the two cities is 464.
Set up an equation to solve x.
x + 1.2x = 464
Simplifying and solving for x, we get:
2.2x = 464
x = 211. So Boston has 211 days of sunshine.
The number of days of sunshine in Colorado Springs, we can multiply by 1.2:
1.2x = 1.2(211) = 253.2
So Colorado Springs has 253 days of sunshine.
Therefore, Boston has 211 days of sunshine and Colorado Springs has 253 days of sunshine.
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4 and b = 5.
Evaluate the given expression when a
2a + 6b
HELP
PLEAAASSSSEEEEE HELP ME WITH THIS I REALLY NEED HELP PLEASE PUT THE CORRECT ANSWER
A two-sample tt-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a nuk hypothesis of no difference in population means, which of the following is the test statistic for the appropriate test to investigate whether there is a difference in population means Department Store M minus Department Store V?
A. t= √300-290 /35^2/40 + 40^2/35
B. t = 300-290 / √40^2 +35^2 / 35+40
C. t= 300-290 / √40+35 / 35+40
D. t= 300-290 / √40^2 /35 +35^2/ 40
E. t= 300-290 /√40 /35+ 35/40
a. A
b. B
c. C
d. D
e. E
Answer: D
Step-by-step explanation:
The test statistic is t = 1.14.
What is Central Limit Theorem?The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
here, we have,
Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40.
This means that , μ_m = 6.761
From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35.
This means that , μ_v = 5.534
Assuming a null hypothesis of no difference in population means
At the null hypothesis, we test that there is no difference, that is, the subtraction of the means is 0. So
H₀ = 0
At the alternate hypothesis, we test if there is difference, that is, the subtraction of the means is different of 0. So
H₁ ≠ 0
The test statistic is:
t = X - μ / s
In which X is the sample mean, is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that μ= 0
From the samples:
X = 10
s = 8.737
The test statistic is t = 1.14.
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Complete question:
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
A group of friends were working on a student film that had a budget of $1000. They used $370 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
37%
Step-by-step explanation:
take aways the zero from 370 and one zero from 1000 then you get 37%
From the figure, your friend concludes that m<BAD > m<BCD. How would you correct your friend's mistake?
Answer:
BC > AD
Step-by-step explanation:
The opposite side to BC is greater, therefore making m<BCD > m<BAD. Since the legs are congruent, this is the only difference that need-be mentioned.
As the opposite angle of a larger side of a triangle is larger hence
m∠BAD > ∠mBCD.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the figure itself, ΔABD and ΔBCD share a common side BD.
Given, Side AB is congruent to side CD and Side AD is greater than side BC.
We know opposite angle of a larger side of the triangle is larger.
Therefore, m∠BAD > ∠mBCD.
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A number is chosen at random from 1 to 10. Find the probability of selecting a multiple of 2.
Answer: the percentage you would get the number two would be 10% out of 100 I believe. Hope it helped!
what is 10 divided by ten plss help am in 2nd grade!!!!!
Answer:
It will equal one:)))))))))
PLEASEEEEEEE answer I've been trying forever. :(
Please please help me it really late we’re I am so and I Need to bring my grade up please
Answer
here :)
Step-by-step explanation:
for 1) the answers are...
x y
-6 -10
3 -1
-7 -11
0 -4
-3 -7
for number 2 the answers are...
x y
6 -2
1 -7
-8 -16
-7 -15
2 -6
for number 5 the answers are...
x y
1 -6
2 -5
-6 -13
6 -1
-9 -16
for number 6 the answers are...
x y
8 64
7 56
6 48
9 72
-8 -64
for number 9 the answers are...
x y
2 -3
-9 -14
8 3
-5 -10
9 4
for number 10 the answers are...
x y
5 -15
-9 27
7 -21
0 0
-3 9
Given tan0 = 7/24 use the Pythagorean theorem to find the value of sin 0
Answer:
Step-by-step explanation:
Don't use 0 (or any other number) to replace θ. Use a letter variable such as x.
tan(x) = 7/24
sin(x)/cos(x) = 7/24
sin(x) = 7/√(7²+24²) = 7/√625 = 7/25
25% of Mr. Foster's class chose an amber background for their school picture. If 6 students chose an amber background, how many students are in Mr. Foster's class?
Answer:
24 studentsStep-by-step explanation:
25% of a hundred is one-fourth and because there are six students in a fourth of the whole we are multiplying four and six. 6x 4 is 24.
The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
25% = 6 students
100% = 24 students
The total number of students in Mr. Foster's class is 24.
What is a percentage?The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of students who chose an amber background = 6
25% of Mr. Foster's class chose an amber background for their school picture.
This means,
25% = 6
The total number of students = 100%
Now,
25% = 6 students
Multiply 4 on both sides.
4 x 25% = 4 x 6 students
100% = 24 students
Thus,
The total number of students in Mr. Foster's class is 24.
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Quick please! I need it
Answer: A = 1/2 b x h
Step-by-step explanation:
A bank offers a savings account that accrues compound interest quarterly at a rate of 4%. What is the initial amount needed in this account so that after 8 the account has a total of 439?
Please help!!! I need the equation and the answer itself
Answer:
439(1+4/100x8=579.48
solve for the value of p
Answer:
43°
Step-by-step explanation:
p + 7° + 3p+ 1° = 180° ( Being linear pair)
4p + 8° = 180°
4p = 180° - 8 °
4p = 172°
p = 172° / 4
p = 43°
Hope it will help :)❤
can you please help i have lots of hw since i got quarintined right before spring break
The drawing shows a concrete walkway around a pool. What is the total area of the concrete?
A) 165 ft2
B) 150 ft2
C) 50 ft2
D) 65 ft2
Answer & Step-by-step explanation:
The drawing shows a concrete walkway around the pool, Area of concrete is calculated as: 25 x 13 = 325; 20x 8 = 160; 325 ft^2-160 ft^2=165 ft^2.
What’s the answer it says chose all
Answer:
B and C are correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 40
x = 120
The < sign means less than.
38 is less than 25, but it is less than 40 and 120.
Hope that helps!
-Sabrina
A circle has a radius of 5 units. What is the diameter of the circle?
Answer:
10
Step-by-step explanation:
5x5=10
Answer:
10 units
Step-by-step explanation:
5*2=10
What are the solutions of the quadratic equation (x + 3)2 = 49? A. O x = 2 and x = - 10 B.O.x = 4 and x = -10 C.O x=-2 and x = -16 D.O x = 40 and x = -58
Answer:
B. x = 4 and x = -10
Step-by-step explanation:
First, expand the equation
(x + 3)² = 49
(x + 3)(x + 3) = 49
x² + 6x + 9 = 49
Subtract 49 from both sides
x² + 6x -40 = 0
Factor
(x + 10)(x - 4) = 0
Solve
x + 10 = 0
x = -10
x - 4 = 0
x = 4
So, the correct answer is B. x = 4 and x = -10
What is the product of (x−4) and (x2−7x+10)?
x2−6x+6
x2−8x+14
x3−11x2+38x−40
x3−3x2−18x−40
A square has side length (5x - 3) cm what is the area of the square
Answer:
Step-by-step explanation:
area = (5x-3)² = (25x² - 30x + 9) cm²
Find the slope of the line from the table below
Answer:
m = -10
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 60-50 / -2 - -1
m = 10/ -1
m = -10
Answer:
-10
Step-by-step explanation:
We can use two points from the table to find our slope.
Remember, the slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. We can use the points (-1,50) and (-2,60). Let's substitute the values into the formula.
[tex]\frac{60-50}{-2-(-1)}[/tex]. This gets us to [tex]\frac{10}{-1}[/tex], so our slope is -10.
Hope this helps!
State the hypothesis and the conclusion in each conditional statement.
26. If you are a basketball player, then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
28. If you are 13 years old, then you are a teenager.
29. 9x=36 implies x=4.
30. A =+~ B only if mA =+~mB ( I can’t type it so please look at the picture instead )
You don’t have to do all this if you don’t want to, you can help me by doing at least one.
Thank youuuuuu :) <3
What can be said about 10 and -10?
Answer:
They are complete opposites
Step-by-step explanation:
Answer:
they are opposites
Step-by-step explanation:
What are the solutions of 12 - x² = 0
Answer:
2sqrt(3),-2sqrt(3)
Step-by-step explanation:
12-x^2=0
-x^2=-12
x^2=12
x=-sqrt(12),sqrt(12)
x=2sqrt(3),-2sqrt(3)
helpppppp?!?!??!?!?!,!,!?!
Answer:
ok so I couldn't find what the answer was and there didn't seem to be a virus. Soooo I dunno what that link is. The account that posted it was a bot if you click on the profile it says it deactivated.
(бх -Зу = 6
(2x-y=-5
Answer:
6-
Step-by-step explanation:
Your answer should be written in paragraph/essay format.
Any sources used should be cited at the bottom of your paper.
All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.
If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.
Find the center and the radius of the circle. (x-2)^2+(y+3)^2=70
Answer:
the center is (2,-3)
the radius is √70
Use a calculator to solve the equation.
−9.5x + 0.81 = −2.99
The solution is x =
Answer:
x = 0.4
Step-by-step explanation:
Answer:
x=0.4
Step-by-step explanation:
Given function:
-9.5x+0.81=-2.99find xCombine first value by 0.81:
-9.5+0.81=-2.99-19x/2+0.81=-2.99Subtract 0.81 both from sides:
-19x/2+0.81-0.81=-2.99-0.81Simplifly -19x/2:
-19x/2=-3.8Multiply all terms by similar term:
2·19x/2=2·3.8Divide both terms by -7.6:
-19x/-19-7.6/19=0.4Therefore, x=0.4.
Pleaseeeeeeeeee helppppp me no links
Answer:
Base:12
Volume:76.8
Step-by-step explanation:
The base is 3*8/2
which is 12
and the volume is base * height so
12*6.4
=76.8
Hope this helps :) Giving me brainiest would help a lot :))